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A208075 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 0 vertically 1
16, 256, 1968, 15129, 139605, 1288225, 11204720, 97456384, 865369648, 7684100281, 67718944293, 596797965729, 5274143802564, 46609731345424, 411483568613260, 3632690477958025, 32082757563158885, 283344628203780049 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A208078
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) -9*a(n-2) +224*a(n-3) +1680*a(n-4) +2372*a(n-5) +20805*a(n-6) -45404*a(n-7) -486823*a(n-8) -689588*a(n-9) -3768816*a(n-10) +1453732*a(n-11) +44174994*a(n-12) +51700152*a(n-13) +250362138*a(n-14) +121540684*a(n-15) -1466563760*a(n-16) -1100186580*a(n-17) -7139675534*a(n-18) -4821934776*a(n-19) +23901334370*a(n-20) +7281191012*a(n-21) +104816462896*a(n-22) +63881015740*a(n-23) -211010508955*a(n-24) +24078972460*a(n-25) -859950960795*a(n-26) -374360558188*a(n-27) +1008165109024*a(n-28) -492616735992*a(n-29) +4062542585755*a(n-30) +932245186620*a(n-31) -2388182948337*a(n-32) +2086352365080*a(n-33) -11147849651040*a(n-34) -645211007608*a(n-35) +2189989379868*a(n-36) -3881195475824*a(n-37) +17760743489068*a(n-38) -1066930676904*a(n-39) +858847026144*a(n-40) +3520134437624*a(n-41) -16307759247092*a(n-42) +2099148372528*a(n-43) -2988254757940*a(n-44) -1583448678360*a(n-45) +8635975575904*a(n-46) -1404389852328*a(n-47) +2049018643241*a(n-48) +348594817500*a(n-49) -2730271504991*a(n-50) +486313065896*a(n-51) -672992963568*a(n-52) -24677820812*a(n-53) +522708334715*a(n-54) -96374043492*a(n-55) +122207652727*a(n-56) -4484066212*a(n-57) -59337110704*a(n-58) +11050406804*a(n-59) -12670803598*a(n-60) +1122608440*a(n-61) +3738597850*a(n-62) -693034340*a(n-63) +728435920*a(n-64) -95918692*a(n-65) -114828510*a(n-66) +20288776*a(n-67) -21076750*a(n-68) +3523252*a(n-69) +1455216*a(n-70) -177364*a(n-71) +257619*a(n-72) -45964*a(n-73) -5661*a(n-74) -604*a(n-75) -960*a(n-76) +128*a(n-77) +5*a(n-78) +4*a(n-79) +a(n-80)
EXAMPLE
Some solutions for n=4
..1..0..1..1..1....0..1..1..0..1....1..1..1..1..1....0..1..0..1..1
..1..1..1..1..1....1..1..1..1..1....0..1..0..1..1....1..0..1..1..1
..0..1..1..1..1....1..1..1..1..0....0..1..0..1..0....1..0..1..1..1
..1..1..1..1..1....1..1..0..1..1....1..0..1..1..0....0..1..0..1..0
CROSSREFS
Sequence in context: A188742 A296779 A188994 * A223641 A223682 A189066
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 23 2012
STATUS
approved

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Last modified April 25 23:59 EDT 2024. Contains 371989 sequences. (Running on oeis4.)